Home / 1,604.21-2,214.68-941.05

Finding the Fourth Proportional to 1,604.21, 2,214.68 and 941.05

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Solution

The fourth proportional to 1,604.21, 2,214.68 and 941.05 is: 1,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.21 : 2,214.68 = 941.05 : x
  2. Step 2: Convert to fraction form
    1,604.21/2,214.68 = 941.05/x
  3. Step 3: Cross multiply
    1,604.21x = 2,214.68 × 941.05
  4. Step 4: Simplify right side
    1,604.21x = 2,084,122.68
  5. Step 5: Solve for x
    x = 2,084,122.68/1,604.21
  6. Step 6: Final answer
    x = 1,299.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.